132828 has 12 divisors (see below), whose sum is σ = 309960. Its totient is φ = 44272.

The previous prime is 132817. The next prime is 132833. The reversal of 132828 is 828231.

It is a tau number, because it is divible by the number of its divisors (12).

It is a Smith number, since the sum of its digits (24) coincides with the sum of the digits of its prime factors.

It is a d-powerful number, because it can be written as 1 + 3⁶ + 8³ + 2 + 2¹⁷ + 8³ .

It is a junction number, because it is equal to n+sod(n) for n = 132798 and 132807.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 5523 + ... + 5546.

It is an arithmetic number, because the mean of its divisors is an integer number (25830).

2¹³²⁸²⁸ is an apocalyptic number.

It is an amenable number.

132828 is an abundant number, since it is smaller than the sum of its proper divisors (177132).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

132828 is a wasteful number, since it uses less digits than its factorization.

132828 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 11076 (or 11074 counting only the distinct ones).

The product of its digits is 768, while the sum is 24.

The square root of 132828 is about 364.4557586320. The cubic root of 132828 is about 51.0226735016.

The spelling of 132828 in words is "one hundred thirty-two thousand, eight hundred twenty-eight".